Funded by the Irish Exchequer and EMFF 2014-2020

Tasks

Develop and test a range of assessment models and methods to establish \(MSY\) or proxy reference points across the spectrum of data-limited stocks

  • Case Studies based on Economic value; Importance; Sensitivity to the impacts of fishing; Available data.

  • A number of data-limited methods already exist, therefore implement a Common Framework to compare performance.

  • Evaluate Sensitivity to assumptions

  • Management Strategy Evaluation to ensure robustness to uncertainty

MSY

An objective of the Common Fisheries Programme is to achieve \(MSY\) for all harvested species

2020 deadline for achieving Good Environmental Status

  • “Stocks should be exploited sustainably consistent with high long-term yields.”
  • “Populations of all commercially exploited fish and shellfish are within safe biological limits, exhibiting a population age and size distribution that is indicative of a healthy stock.”

Data Poor Advice

Data Poor Advice

Simple catch rules have been developed to stabilise data limited stocks at current levels

The “2 over 3” catch rule adjusts catches based on changes in an index of abundance (\(I\))

Limitations

The 2 over 3 rule, however, has no reference points to ensure that

  • targets are met
  • limits are avoided with high probability

Under the CFP management plans should be delivered through a results-based approach that allows tailor-made measures to be proposed in close consultation with fishers and Member States at a regional level.

Alternatives

WKLIFE is therefore testing alternative rules that use \(MSY\) proxy reference points of the form

\(C_{y+1}=C_{current}rfb\)

Where

  • \(r\) is a rule based on an index of abundance
  • \(f\) is current exploitation rate relative to a proxy for \(F_{MSY}\)
  • \(b\) specifies a threshold which if the index falls below the catch is reduced.

\(r\)fb Index of Abundance

Difference

\(r\)fb Index of Abundance

Difference or Trend

if slope \((b) <1\)

\(C_{y+1}=C_{y-1}({1+k_1b})\)

else

\(C_{y+1}=C_{y-1}({1+k_2b})\)

r \(f\)b Length as proxy for \(F/F_{MSY}\)

rf \(b\) Bound on Catch

\(b= min\lbrace{ 1,\frac{I_{current}}{I_{trigger}}\rbrace}\)

Where

  • \(I_{trigger}\) = \(wI_{lim}\) (\(w > 1\)).

Needs values of \(w\) and \(I_{lim}\)

Management Strategy Evaluation

Management Strategy Evaluation

Construct an Operating Model to simulate stocks with different life and exploitation histories

Generate different types of datasets using an Observation Error Model

Test Alternative Management Procedures

  • Assessment Methods
  • Reference Points and
  • Advice Rules

Operating Model

Case Studies

Turbot, Brill, Pollack, Ray, Sprat, Lobster, Razors

Natural Mortality

Biology

Expected Dynamics

Natural Mortality and Stock Recruitment

Stock Recruitment

Operating Model

Indices of Abundance

Length Frequency Data

Methods

Reference Points and Proxies

Length Based Methods

\(F_{MSY}\) Proxies

Based on Beverton and Holt \(L_{F} = \frac{L\infty +\frac{F+M}{K}L_c}{1+\frac{F+M}{K}}\)

  • \(L_{current}/L_{F=M}\)
  • \(M/(Z_{current}-M)\)
  • \(F_{0.1}/(Z_{current}-M)\)
  • \(LBSPR\) Length-based spawning potential ratio (Hordyk et al. 2015)
  • \(Lime\) (Rudd and Thorson, 2018) mixed effects non-equilibrium

\(F\) from LBSPR

Selection Pattern

Simulation Testing

Catch Only

Biomass Dynamic Category 1

Example MSE

Empirical HCR

if slope \((b) <1\)

\(C_{y+1}=C_{y-1}({1+k_1b})\)

else

\(C_{y+1}=C_{y-1}({1+k_2b})\)

Risks of an increase are different from a decrease, therefore

  • K1 decreases catch if index declines

  • K2 increases catch if index goes up

Performance Measures

Under the MSFD, GES Descriptor 3 requires that stocks should be

  • Exploited sustainably consistent with high long-term yields
  • Have full reproductive capacity in order to maintain stock biomass
  • Proportion of older and larger fish/shellfish should be maintained (or increased) being an indicator of a healthy stock

Performance Measures

Safety

  • Probability of avoiding limits >\(B_{lim}\)

Status

  • Probability of achieving targets >\(B_{MSY}\) & >\(F_{MSY}\)

Yield

  • \(Yield:MSY\)

Variability

  • Inter-Annual

Performance Measures

Utility Functions

Turbot

Ray

Sprat

Next Steps

Next Steps

Case studies

  • Summarise current infomation
  • Propose future data collection options

Evaluate single rules

  • Length
  • Abundance Indices
  • Catch

Evaluate combined rules of the form \(C_{t+1}=C_{t-1}rfb\)

Compare to Category 1 rules

Conclusions

Conclusions

Management Procedures

Consider the data along with the assumptions, estimator and management and feedback between the various elements

Diagnostics

Compare across species, stocks, fisheries and advice rules

Value of infomation

Models are cheap, but data is expensive

Risk

An uncertainty that matters, what matters are management objectives

R Packages

  • FLR
    • FLife
    • mydas
    • mpb
  • R Packages
    • LBSPR
    • MLZ